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3 years ago

12

A rectangle with an area of 20 ft.? has a length of 4 feet what is the ratio of area to length. Express as a unit rate

1 answer:

NikAS [45]3 years ago

6 0

It will be whatever the length ratio is squared. So in this case it would be 4/5 to 16/25

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I need help immediately with these two problems.

Iteru [2.4K]

Answer:

(1) 25.5 meters square

(2) 1.5 hours

Step-by-step explanation:

(1) Tucker painted 2/3 of his deck before lunch so he has 1/3 of the deck to paint after lunch.(1 - 2/3). So you do 1/3 of of the deck (76 1/2 meters square) to paint. 1/3 x 76 1/2 is 25 1/2 meters square. 25 1/2 is 25.5.

(2) This is like the last problem just with different numbers. She has 3/5 of 2 1/2 hours left. So you times 3/5 by 2 1/2. You get 1 1/12 which is 1.5.

8 0

4 years ago

A man starts walking north at 2 ft/s from a point P. Five minutes later a woman starts walking south at 3 ft/s from a point 500

Vedmedyk [2.9K]

Answer:

The rate at which both of them are moving apart is 4.9761 ft/sec.

Step-by-step explanation:

Given:

Rate at which the woman is walking, $\frac{d(w)}{dt}$ = 3 ft/sec

Rate at which the man is walking, $\frac{d(m)}{dt}$ = 2 ft/sec

Collective rate of both, $\frac{d(m+w)}{dt}$ = 5 ft/sec

Woman starts walking after 5 mins so we have to consider total time traveled by man as (5+15) min = 20 min

Now,

Distance traveled by man and woman are $m$ and $w$ ft respectively.

⇒ $m=2\ ft/sec=2\times \frac{60}{min} \times 20\ min =2400\ ft$

⇒ $w=3\ ft/sec = 3\times \frac{60}{min} \times 15\ min =2700\ ft$

As we see in the diagram (attachment) that it forms a right angled triangle and we have to calculate $\frac{dh}{dt}$ .

Lets calculate h.

Applying Pythagoras formula.

⇒ $h^2=(m+w)^2+500^2$

⇒ $h=\sqrt{(2400+2700)^2+500^2} = 5124.45$

Now differentiating the Pythagoras formula we can calculate the rate at which both of them are moving apart.

Differentiating with respect to time.

⇒ $h^2=(m+w)^2+500^2$

⇒ $2h\frac{d(h)}{dt}=2(m+w)\frac{d(m+w)}{dt} + \frac{d(500)}{dt}$

⇒ $\frac{d(h)}{dt} =\frac{2(m+w)\frac{d(m+w)}{dt} }{2h}$ ...as $\frac{d(500)}{dt}= 0$

⇒ Plugging the values.

⇒ $\frac{d(h)}{dt} =\frac{2(2400+2700)(5)}{2\times 5124.45}$ ...as $\frac{d(m+w)}{dt} = 5$ ft/sec

⇒ $\frac{d(h)}{dt} =4.9761$ ft/sec

So the rate from which man and woman moving apart is 4.9761 ft/sec.

3 0

4 years ago

A catfish pond contains 2,200 gallons of water. The pond can hold no more than 3,000 gallons. It is being filled at a rate of 12

Olenka [21]

Answer:

I am not sure honestly, but I think you should

Step-by-step explanation:

add 2,200 and 3,000 then see your answer, and divide it by 125. I'm sorry if this doesn't help......

8 0

3 years ago

What is the answer for this fraction is 1+20×5

Vaselesa [24]

101 is your answer.
20 x 5 = 100 ,
100 + 1 = 101

3 0

3 years ago

I’m confused on this one

Digiron [165]

first, you would find the sum of all the other angles.

85+115+50 = 250

knowing that the circumference of a circle is 360, you can subtract 250 from 360. which leaves you with 110. hopefully this is correct

8 0

3 years ago